Option B: 8x+1 has the steepest slope
Step-by-step explanation:
Slope is defined as the rate of change of a line
The steepness of a slope means how close it is to being vertical
The greater value of slope means, more steepness. The value of slope can wither b positive or negative
We have to compare the slopes of all given options to find the steepest slope
As the options are in slope-intercept form, the coefficients of x will be the slope
So,
a. Slope = -4
b. Slope = 8
c. Slope = 2/3 = 0.66
d . Slope = 1/7 = 0.14
We can see that the largest value of slope in negative and positive is 8
So,
Option B: 8x+1 has the steepest slope
Keywords: Slope, steepness
Learn more about slopes at:
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Answer:
Step-by-step explanation:
40 hours per week*20 dollars per hour=800 dollars per week. This job makes 200 more dollars than the other job.
Answer:
the function that models the total inventory costs as a function of x is;
$(
+ (
)x )
Step-by-step explanation:
Given the data in the question;
cost of storing the shoes ( Holding cost ) = $ 3 per year
ordering cost ( Co ) fixed = $ 25 per order
cost of each pair = $ 5 per shoe pair
Total demand = 4500 shoe pairs
Total Inventory cost = Holding cost Ordering cost
so
Total Inventory cost =
( $ 25) +
× $3 × x
Total Inventory cost = $(
+ (
)x )
Total Inventory cost = $(
+ (
)x )
Therefore, the function that models the total inventory costs as a function of x is; $(
+ (
)x )
Using an exponential function, it is found that it's annual growth rate is of 4%.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem, the card appreciates exponentially in value by 50% over 10 years, hence:
A(10) = 1.5A(0).
Thus:



![\sqrt[10]{(1 + r)^{10}} = \sqrt[10]{1.5}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%20%2B%20r%29%5E%7B10%7D%7D%20%3D%20%5Csqrt%5B10%5D%7B1.5%7D)
1 + r = 1.04.
r = 0.04.
0.04 x 100% = 4%.
It's annual growth rate is of 4%.
More can be learned about exponential functions at brainly.com/question/25537936